Diophantine approximation by algebraic hypersurfaces and varieties

DOI10.1090/S0002-9947-06-04014-1zbMath1115.11037OpenAlexW1548517087MaRDI QIDQ3420398

Wolfgang M. Schmidt

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04014-1

zbMATH Keywords

simultaneous approximationhypersurfacesalgebraic independence

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Measures of irrationality and of transcendence (11J82) Transcendence (general theory) (11J81) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (2)

Mahler and Koksma classification of points in \(\mathbb R^n\) and \(\mathbb C^n\) ⋮ The Mathematical Work of Wolfgang Schmidt

Cites Work

• Exponents of Diophantine approximation and Sturmian continued fractions.
• Algebraic approximations of points in projective spaces. I
• On heights of algebraic subspaces and diophantine approximations
• Criteria of algebraic independence with multiplicities and approximation by hypersurfaces
• Approximation mit algebraischen Zahlen beschränkten Grades.
• Local Diophantine Nullstellen Inequalities
• Values of polynomials with integer coefficients and distance to their common zeros
• Approximation to real numbers by quadratic irrationals
• A theorem on linear forms
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